λ
Harmonic Matrix

4,024,690

2 × 5 × 67 × 6007
Deficient Even Composite

4,024,690 has digital root 7. The neighboring primes are 4024687 and 4024693; its proper-divisor sum differs from the starting integer by -695,588.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 6007
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,353,792
Proper Divisor Sum 3,329,102
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4024687 ← → #4024693

Radix Representation

Decimal 4024690
Binary 1111010110100101110010 (22 bits)
Octal 0o17264562
Hexadecimal 0x3D6972

Divisor Catalog (16)

1 2 5 10 67 134 335 670 6,007 12,014 30,035 60,070 402,469 804,938 2,012,345 4,024,690

Collatz Trajectory (154 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,024,690 2,012,345 6,037,036 3,018,518 1,509,259 4,527,778 2,263,889 6,791,668 3,395,834 1,697,917 5,093,752 2,546,876 1,273,438 636,719 1,910,158 955,079 2,865,238 1,432,619 4,297,858 2,148,929 6,446,788 3,223,394 1,611,697 4,835,092 2,417,546 1,208,773 3,626,320 1,813,160 906,580 453,290 226,645 679,936 339,968 169,984 84,992 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

More profiles

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